Q31. 
In a green view apartment, the houses of a row are numbered consecutively from 1 to 49. Assuming that there is a value of '$x$' such that the sum of the numbers of the houses preceding the house numbered '$x$' is equal to the sum of the numbers of the houses following it. Then, what will be the value of '$x$'? 
A.  21 

B.  30 

C.  35 

D.  42 
Q32. 
A Metro train from Mumbai to Gurgaon has capacity to board 900 people. The fare charged (in Rs) is defined by the function: \(f=\left(54\dfrac{x}{32}\right)^2\) where $x$ is the number of the people per trip. How many people per trip will make the marginal revenue equal to zero? 
A.  1728 

B.  576 

C.  484 

D.  364 
Q33. 
A man buys Bank's cash certificates every year for a value exceeding the last year's purchase by Rs 400. After 24 years, he finds that the total value of the certificate purchased by him is Rs 144,000. What is the value of the certificates purchased by him in the 13th year? 
A.  Rs 3820 

B.  Rs 5400 

C.  Rs 6200 

D.  Rs 4530 
Q34. 
Ramesh has two examinations on Wednesday  Engineering Mathematics in the morning Engineering drawing in the afternoon. He has a fixed amount of time to read the textbooks of both these subjects on Tuesday. During this time he can read 80 pages of Engineering Mathematics and 100 pages of Engineering Drawing. Alternatively, he can also read 50 pages of Engineering Mathematics and 250 pages of Engineering Drawing. Assume that the amount of time it takes to read one page of the textbook of either subject is constant. Ramesh is confident about Engineering Drawing and wants to devote full time in reading Engineering Mathematics. The number of Engineering Mathematics text book pages he can read on Tuesday is: 
A.  500 

B.  300 

C.  100 

D.  60 
Q35. 
On May 1, 2007, two organisations ($A$ and $B$) were formed with $n$ members each. On the first day of each subsequent month, $m$ members join $A$ while the number of members in $B$ gets multiplied by $p$. On September 2, 2007, both organisations have the same number of members. If $m = 20n$, find $p$? 
A.  2 

B.  3 

C.  4 

D.  5 